### Welcome to the Relativistic Waves & Quantum Fields (PHY-415) Home Page

Course Organiser: Prof Gabriele Travaglini

Deputy Course Organiser: Dr David Berman

Marker: Brenda Penante

### Learning Outcomes

This course provides a first introduction into the unification of last century's groundshaking revolutions in physics: Special Relativity and Quantum Mechanics. Relativistic wave equations for particles of various spins are derived and studied, and the physical interpretations of their solutions are analyzed. Students will learn about the fundamental concepts of quantum field theory, starting with classical field theory, quantisation of the free Klein-Gordon and Dirac field and the derivation of the Feynman propagator. Then interactions are introduced and a systematic procedure to calculate scattering amplitudes using Feynman diagrams is derived. As an example, some explicit tree-level scattering amplitudes for a scalar theory are calculated.

### Syllabus

The syllabus will be updated during the course. MS stays for the book of Mandl and Shaw

Interacting theories: natual units [MS Sections 6.1], the evolution operator in the interaction picture and the S-matrix expansion [MS Sections 6.2, see also these notes]. Tree level diagrams: an example for a scalar theory [see these notes].

### Schedule

Lectures will be held at University College in room UCL Physics, room to be confirmed, on Thursdays from 9:30am - 12:30pm.

First lecture: October 3, 2013.

If you do not know how to get to the classroom consult the Intercollegiate Physics MSci webpage.

### Marking

Assessment for this course is based on a 10% contribution from the weekly exercises and 90% from the final examination in Semester 3.

### Homework

During the semester eight homework assignments will be given. The homeworks will be posted on the webpage every Thursday and are due a week later (I collect them in the Thursday lecture). Late assignments will be marked to zero, unless you have medical or other valid reasons. Homework solutions will be available here a few days later.

*Homework sheets*

Week 1

Week 2

Week 3

Week 4

Week 5

Week 6

Week 7

Week 8

Week 9

Week 10

*Solutions*

Week 1

Week 2

Week 3

Week 4

Week 5

Week 6

Week 7

Week 8

Week 9

Week 10

### References

Some of the past exam papers can be downloaded from here: 2012, 2011, 2010, 2009, 2008 and 2007.